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Warm-Up

6 minutes. Warm-Up. Solve each equation by factoring and then applying the zero-product property. 1) x 2 + 13x + 36 = 0. 2) 2x 2 + 5x = 12. 5) Solve x 2 – 4x – 7 = 0 by completing the square. Round your answer to the nearest tenth. 5.5 The Quadratic Formula. Objectives:

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Warm-Up

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  1. 6 minutes Warm-Up Solve each equation by factoring and then applying the zero-product property. 1) x2 + 13x + 36 = 0 2) 2x2 + 5x = 12 5) Solve x2 – 4x – 7 = 0 by completing the square. Round your answer to the nearest tenth.

  2. 5.5 The Quadratic Formula Objectives: Use the quadratic formula to find real roots of quadratic equations Use the roots of a quadratic equation to locate the axis of symmetry of a parabola

  3. If ax2 + bx + c = 0 and a = 0, then the solutions, or roots, are The Quadratic Formula

  4. Example 1 S Use the quadratic formula to s olve x2 – 16x – 36 = 0. a = b = c = 1 -16 -36 x = 18 or -2

  5. Example 2 Use the quadratic formula to solve 5x2 + 1 = 7x. Give exact solutions and approximate solutions to the nearest tenth. 5x2 – 7x + 1 = 0 a = b = c = 5 -7 1

  6. Practice Use the quadratic formula to solve 2x2 – 6x = -3. Give exact solutions and approximate solutions to the nearest tenth.

  7. If y = ax2 + bx + c, where a = 0, then the equation for the axis of symmetry of the parabola is Axis of Symmetry of a Parabola

  8. the axis of symmetry is Example 3 Let f(x) = -2x + 3 + 2x2. Write an equation for the axis of symmetry of the graph, and find the coordinates of the vertex. f(x) = -2x + 3 2x2

  9. the axis of symmetry is the coordinates of the vertex are Example 3 Let f(x) = -2x + 3 + 2x2. Write an equation for the axis of symmetry of the graph, and find the coordinates of the vertex.

  10. Practice Let f(x) = x2 – 4x + 1. Write an equation for the axis of symmetry of the graph, and find the coordinates of the vertex.

  11. Homework p.311 #11,15,17,27,29,33,37 QUIZ TOMORROW

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